Finding the Third Proportional to 94,492 and 142,165

Step by Step Solution

1. Step 1: Write the proportion equation
   94,492 : 142,165 = 142,165 : x
2. Step 2: Convert to fraction form
   94,492/142,165 = 142,165/x
3. Step 3: Cross multiply
   94,492x = 142,165 × 142,165
4. Step 4: Simplify right side
   94,492x = 20,210,887,225
5. Step 5: Solve for x
   x = 20,210,887,225/94,492
6. Step 6: Final answer
   x = 213,889.93